Solve 8x − 6 = 18

The solution of 8x − 6 = 18 is x = 3.

8x - 6 = 18\ \Rightarrow\ x = 3

Explain it step by step in chat Make a short video of it

The lines y = 8x − 6 and y = 18 meet at x = 3. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$8x - 6 = 18$
2
Add 6 to both sides:
$8x - 6 + 6 = 18 + 6 \ \Rightarrow\ 8x = 24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$8\cdot3 - 6 = 24 - 6 = 18 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 6 = 18\ \Rightarrow\ x = 3 \]
\[ 8x - 6 = 18 \]
\[ 8x - 6 + 6 = 18 + 6 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 - 6 = 24 - 6 = 18 \checkmark \]

Trying values of x in 8x − 6 = 18

x	8x − 6	Equals 18?
1	2	no
2	10	no
3	18	yes
4	26	no
5	34	no

Questions

What is x in 8x − 6 = 18?

The solution of 8x − 6 = 18 is x = 3.

How do you solve 8x − 6 = 18?

Add 6 to both sides to get 8x = 24, then divide both sides by 8 to get x = 3.

How do I check the answer?

Replace x by 3: 8(3) − 6 = 18, which is 18.

Solve 8x − 6 = 18

How to work it out

Trying values of x in 8x − 6 = 18

Questions

Similar equations